Economists theorize that the recent recession has affected men more than women because men are typically employed in industries that have been hit hardest by the recession. Women, on the other hand, are typically employed in services which are considered more recession resistant. A sample of 160 men and a sample of 145 women were drawn. In those samples, 20 men were unemployed, and 13 of the women were unemployed. Complete parts a and b below. a. Perform a hypothesis test using a = 0.05 to determine if the unemployment rate for men is higher than the rate for women. Let population 1 be men and population 2 be women. What are the correct null and alternative hypotheses? O A. Ho: P1 - P2 SO OB. Ho: P1 - P2 0 H1: P1 - P2 20 O C. Ho: P1 - P2 = 0 OD. HO: P1 - P2 # 0 H1: P1 - P2# 0 H1 : P1 - P2 = 0 What is the test statistic? Zp = (Round to two decimal places as needed.) What is/are the critical value(s)? The critical value(s) is/are]. (Round to three decimal places as needed. Use a comma to separate answers as needed.) Interpret the result. Choose the correct answer below. O A. Reject Ho. There is not enough evidence to conclude that the unemployment rate is higher for men than women. O B. Do not reject Ho. There is not enough evidence to conclude that the unemployment rate is higher for men than women. O C. Do not reject Ho. There is enough evidence to conclude that the unemployment rate is higher for men than women. O D. Reject Ho. There is enough evidence to conclude that the unemployment rate is higher for men than women. b. Determine the p-value and interpret the results. p-value =(Round to three decimal places as needed.) Interpret the result. Choose the correct answer below. O A. Do not reject Ho. There is not enough evidence to conclude that the unemployment rate is higher for men than women. O B. Reject Ho. There is not enough evidence to conclude that the unemployment rate is higher for men than women. O C. Reject Ho. There is enough evidence to conclude that the unemployment rate is higher for men than women. O D. Do not reject Ho. There is enough evidence to conclude that the unemployment rate is higher for men than women. Click to select your answer(s). Time Remaining: 01:08:39 NextThe accompanying data have a correlation coefficient, rounded to three decimal places, of 0.261. Perform a hypothesis test with the data to determine if the population correlation coefficient p is not equal to zero using a = 0.05. Click the icon to view the sample data. Click the icon to view an excerpt from a table of Student's t-distribution values. What are the correct null and alternative hypotheses? . X Sample data OA. Ho: P >0 H1: p=0 OB. Ho: P#0 5 6 1 7 X 7 H1: p =0 y 7 10 5 5 6 O C. Ho: P = 0 H1: P#0 O D. Ho: p= 0 Print Done H1: p >0 What is the test statistic? t=(Round to three decimal places as needed.) What is the critical value? Select the correct choice below and fill in the answer box within your choice. (Round to three decimal places as needed.) OA. ta/2= + O B. to = What is the correct conclusion? O A. Reject Ho. There is not enough evidence from the sample to conclude that a relationship exists between the two variables. O B. Do not reject Ho. There is enough evidence from the sample to conclude that a relationship exists between the two variables. O C. Do not reject Ho. There is not enough evidence from the sample to conclude that a relationship exists between the two variables. O D. Reject Ho. There is enough evidence from the sample to conclude that a relationship exists between the two variables. Click to select your answer(s). Time Remaining: 01:07:00 Next
